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ELEN [110]
3 years ago
10

One of the sides of an equilateral triangle is 32. What is the height of the triangle? Round to 2 decimal places.

Mathematics
1 answer:
Ilya [14]3 years ago
7 0
So because it's an equilateral triangle, you can cut the triangle in half and make a right triangle with a hypotenuse of 32. The bottom of the triangle would be half of 32, which is 16, because you cut the triangle in half. Now you can use the pythagorean theorem to solve for the height.

16^{2} +b^{2} =32^{2}

The answer is whatever b is:

b = \sqrt{ 32^{2} - 16^{2}

So your answer is 27.713.
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The sum of three numbers is 24. the largest number is three times the smallest, and the middle number is four less than the larg
tensa zangetsu [6.8K]
Small number =X
mid number = 3X-4
large number = 3x

X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4

S=4
M=3(4) -4=12-4=8
L=3(4)=12

The numbers are 4,8 and 12
6 0
3 years ago
HELP PLZ DUR 11;59 plz help me
Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is  area=\frac{1}{2} *b*h , where <em>b</em> is the length of the base of the triangle, and <em>h</em> is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that h=6*b. We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

300=\frac{1}{2} *b*(6*b)

3b^2=300

b=\sqrt{100} =10

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

300=\frac{1}{2} *10*h

5h=300

h=60

The height of the triangle is 60 centimeters.

5 0
3 years ago
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts
Damm [24]

Answer:

t=2.08 seconds.

Step-by-step explanation:

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4 0
3 years ago
Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4
Semenov [28]
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<span> 3.1 </span>  <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span>  <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step  3  :</span><span> 27 4 • —————— 16x6y8 </span><span>Step  4  :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>
6 0
3 years ago
Read 2 more answers
The sum of 4 consecutive integers is 198. What is the fourth number in this sequence.
Georgia [21]
Let x, x+1,x+2, x +3 are the <span>numbers
so
</span>x + x +1 + x +2 +x +3 = 198
4x + 6 = 198
4x =198-6
4x = 192
 x = 192/4
 x = 48
 x + 1 = 48 + 1 = 49
 x + 2 = 48 + 2 = 50
 x + 3 = 48 + 3 = 51

proof
48 + 49 + 50 + 51 = 198

so the numbers are 48, 49, 50, 51

fourth number in this sequence is 51
7 0
3 years ago
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